About lifespan of regular solutions of equations related to viscoelastic fluids

Jean Yves Chemin; Nader Masmoudi

doi:10.1137/S0036141099359317

About lifespan of regular solutions of equations related to viscoelastic fluids

Research output: Contribution to journal › Article › peer-review

Abstract

We prove existence and uniqueness of local and global solutions for a system of equations concerning an incompressible viscoelastic fluid of the Oldroyd type. We also show a new a priori estimate for the two-dimensional Navier-Stokes system and a losing estimate for the transport equations that allow us to give a sufficient condition of non-breakdown.

Original language	English (US)
Pages (from-to)	84-112
Number of pages	29
Journal	SIAM Journal on Mathematical Analysis
Volume	33
Issue number	1
DOIs	https://doi.org/10.1137/S0036141099359317
State	Published - 2001

Keywords

Besov spaces
Local and global well-posedness
Oldroyd model

ASJC Scopus subject areas

Analysis
Computational Mathematics
Applied Mathematics

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10.1137/S0036141099359317

Cite this

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abstract = "We prove existence and uniqueness of local and global solutions for a system of equations concerning an incompressible viscoelastic fluid of the Oldroyd type. We also show a new a priori estimate for the two-dimensional Navier-Stokes system and a losing estimate for the transport equations that allow us to give a sufficient condition of non-breakdown.",

keywords = "Besov spaces, Local and global well-posedness, Oldroyd model",

author = "Chemin, {Jean Yves} and Nader Masmoudi",

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AU - Masmoudi, Nader

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AB - We prove existence and uniqueness of local and global solutions for a system of equations concerning an incompressible viscoelastic fluid of the Oldroyd type. We also show a new a priori estimate for the two-dimensional Navier-Stokes system and a losing estimate for the transport equations that allow us to give a sufficient condition of non-breakdown.

KW - Besov spaces

KW - Local and global well-posedness

KW - Oldroyd model

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DO - 10.1137/S0036141099359317

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About lifespan of regular solutions of equations related to viscoelastic fluids

Abstract

Keywords

ASJC Scopus subject areas

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